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<div class="title">lineqsys.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef _LINEQSYS_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define _LINEQSYS_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &quot;matrix.h&quot;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/numeric/ublas/vector.hpp&gt;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/numeric/ublas/matrix.hpp&gt;</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;boost/numeric/ublas/lu.hpp&gt;</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;boost/numeric/ublas/io.hpp&gt;</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span>bnu = boost::numeric::ublas;</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="classcLinEqSys.html">   17</a></span>&#160;<span class="keyword">class </span><a class="code" href="classcLinEqSys.html">cLinEqSys</a></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;{</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <a class="code" href="classcLinEqSys.html">cLinEqSys</a>(<span class="keyword">const</span> T **elems, std::size_t rows, std::size_t cols)</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    {</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="comment">//init coefficients matrix</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        m_CoeffMatrix.resize(rows,cols);</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        <span class="keywordflow">for</span>(std::size_t row = 0; row &lt; rows; row++) </div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        {</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            <span class="keywordflow">for</span>(std::size_t col = 0; col &lt; cols - 1; col++)</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            {</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                assert(elems[row][col]);</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                m_CoeffMatrix(row,col) = elems[row][col];</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;            }</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        }</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="comment">//init vector of constant terms</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        m_ConstantTermVec.resize(rows);</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <span class="keywordflow">for</span>(std::size_t row = 0; row &lt; rows; row++) </div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;            m_ConstantTermVec(row) = elems[row][cols - 1];</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    }</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <a class="code" href="classcLinEqSys.html">cLinEqSys</a>(bnu::matrix&lt;T&gt;&amp; mat)</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    {</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="comment">//init coefficients matrix</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        m_CoeffMatrix.resize(mat.size1(),mat.size2() - 1);</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordflow">for</span>(std::size_t row = 0; row &lt; mat.size1(); row++)  </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            <span class="keywordflow">for</span>(std::size_t col = 0; col &lt; mat.size2() - 1; col++)</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                m_CoeffMatrix(row, col) = mat(row, col);</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="comment">//init right hand side</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        m_ConstantTermVec.resize(mat.size1());</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">for</span>(std::size_t row = 0; row &lt; mat.size1(); row++)  </div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            m_ConstantTermVec(row) = mat(row, mat.size2() - 1);</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    ~<a class="code" href="classcLinEqSys.html">cLinEqSys</a>()</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    {</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    }</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classcLinEqSys.html#a39978bcfd4366712d09e7eb54bb09cef">   61</a></span>&#160;    bnu::vector&lt;T&gt;&amp; <a class="code" href="classcLinEqSys.html#a39978bcfd4366712d09e7eb54bb09cef">SolveUnique</a>()</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    {</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordflow">if</span>(m_CoeffMatrix.size1() != m_CoeffMatrix.size2())</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;            <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;underdetermined or overdetermined system&quot;</span>);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        bnu::permutation_matrix&lt;T&gt; pmMat(m_CoeffMatrix.size1());</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">if</span>(0 != lu_factorize(m_CoeffMatrix, pmMat))</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            <span class="keywordflow">throw</span> bnu::singular(<span class="stringliteral">&quot;no solution, singular matrix&quot;</span>);</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        bnu::lu_substitute(m_CoeffMatrix, pmMat, m_ConstantTermVec);</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">return</span> m_ConstantTermVec;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    }</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classcLinEqSys.html#ad3d9edcf200c3256220054f5ee0fdaeb">   78</a></span>&#160;    bnu::vector&lt;T&gt; <a class="code" href="classcLinEqSys.html#ad3d9edcf200c3256220054f5ee0fdaeb">SolveOverdetermined</a>()</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    {</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">if</span>(m_CoeffMatrix.size1() &lt; m_CoeffMatrix.size2())</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;underdetermined system&quot;</span>);</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        bnu::matrix&lt;T&gt; inverse;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        bnu::matrix&lt;T&gt; temp = bnu::prod(bnu::trans(m_CoeffMatrix), m_CoeffMatrix);</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordflow">if</span>(<span class="keyword">false</span> == get_inverse(temp, inverse))</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;            <span class="keywordflow">throw</span> bnu::singular(<span class="stringliteral">&quot;no solution, trans(A) * A should not be singular&quot;</span>);</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        bnu::matrix&lt;T&gt; temp1 = bnu::prod(inverse, bnu::trans(m_CoeffMatrix));</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">return</span> bnu::prod(temp1, m_ConstantTermVec);</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    }</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="classcLinEqSys.html#a7144d697d601517aead8642f5956a9b0">   94</a></span>&#160;    <span class="keywordtype">bool</span> <a class="code" href="classcLinEqSys.html#a7144d697d601517aead8642f5956a9b0">SolveUnderdetermined</a>(std::vector&lt;T&gt;&amp; solution)</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    {</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        assert(m_CoeffMatrix.size1() &gt; m_CoeffMatrix.size2());</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="comment">//TODO</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    }</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    bnu::matrix&lt;T&gt; m_CoeffMatrix;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    bnu::vector&lt;T&gt; m_ConstantTermVec;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;};</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="preprocessor"></span></div>
<div class="ttc" id="classcLinEqSys_html_ad3d9edcf200c3256220054f5ee0fdaeb"><div class="ttname"><a href="classcLinEqSys.html#ad3d9edcf200c3256220054f5ee0fdaeb">cLinEqSys::SolveOverdetermined</a></div><div class="ttdeci">bnu::vector&lt; T &gt; SolveOverdetermined()</div><div class="ttdef"><b>Definition:</b> lineqsys.h:78</div></div>
<div class="ttc" id="classcLinEqSys_html_a7144d697d601517aead8642f5956a9b0"><div class="ttname"><a href="classcLinEqSys.html#a7144d697d601517aead8642f5956a9b0">cLinEqSys::SolveUnderdetermined</a></div><div class="ttdeci">bool SolveUnderdetermined(std::vector&lt; T &gt; &amp;solution)</div><div class="ttdef"><b>Definition:</b> lineqsys.h:94</div></div>
<div class="ttc" id="classcLinEqSys_html_a39978bcfd4366712d09e7eb54bb09cef"><div class="ttname"><a href="classcLinEqSys.html#a39978bcfd4366712d09e7eb54bb09cef">cLinEqSys::SolveUnique</a></div><div class="ttdeci">bnu::vector&lt; T &gt; &amp; SolveUnique()</div><div class="ttdef"><b>Definition:</b> lineqsys.h:61</div></div>
<div class="ttc" id="classcLinEqSys_html"><div class="ttname"><a href="classcLinEqSys.html">cLinEqSys</a></div><div class="ttdef"><b>Definition:</b> lineqsys.h:17</div></div>
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